Publisher: Cambridge University Press   (Total: 386 journals)

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 Compositio MathematicaJournal Prestige (SJR): 3.139 Citation Impact (citeScore): 1Number of Followers: 0      Subscription journal ISSN (Print) 0010-437X - ISSN (Online) 1570-5846 Published by Cambridge University Press  [386 journals]
• Characteristic directions of two-dimensional biholomorphisms
• Authors: Lorena López-Hernanz; Rudy Rosas
Pages: 869 - 880
Abstract: We prove that for each characteristic direction $[v]$ of a tangent to the identity diffeomorphism of order $k+1$ in $(\mathbb{C}^{2},0)$ there exist either an analytic curve of fixed points tangent to $[v]$ or $k$ parabolic manifolds where all the orbits are tangent to $[v]$ , and that at least one of these parabolic manifolds is or contains a parabolic curve.
PubDate: 2020-05-01T00:00:00.000Z
DOI: 10.1112/S0010437X20007071
Issue No: Vol. 156, No. 5 (2020)

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